Write the expressions "four times the difference of a number and 7 is 32", "one third of a number is 12 less than the number itself", "ten increased by the quotient of a number and 2 is -15", and "one less than the product of a number and 3 is 5 more than the number itself".

Part 1) "Four times the difference of a number and is "

Let

x--------> the number

we know that

the expressions is equal to

therefore

the answer part 1) is

Part 2) "One third of a number is less than the number itself"

Let

x--------> the number

we know that

the expressions is equal to

therefore

the answer part 2) is

Part 3) "Ten increased by the quotient of a number and is "

Let

x---------> the number

we know that

the expressions is equal to

therefore

the answer Part 3) is

Part 4) "One less than the product of a number and is more than the number itself"

Let

x---------> the number

we know that

the expressions is equal to

therefore

the answer Part 4) is

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step-by-step explanation:

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